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20152026
most citedCopositive Duality for Discrete Markets and Games

6 citations · 7 across the 5 of their papers we have counts for

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math.OC2026

Copositive Characterizations of Convex Hull Pricing

Madhusudan Ghosh, Antoine Lesage-Landry, Joshua Adam Taylor

Due to the nonconvex binary constraints of unit commitment (UC), no uniform linear pricing scheme supports the optimal dispatch. Convex hull pricing (CHP) and copositive duality pr…

math.OC2022

Optimal Active Fault Detection in Inverter-Based Grids

Mohammad Pirani, Mehdi Hosseinzadeh, Joshua A. Taylor +1

Ground faults in converter-based grids can be difficult to detect because, unlike in grids with synchronous machines, they often do not result in large currents. One recent strateg…

math.OC20216 cited

Copositive Duality for Discrete Markets and Games

Cheng Guo, Merve Bodur, Joshua A. Taylor

Optimization problems with discrete decisions are nonconvex and thus lack strong duality, which limits the usefulness of tools such as shadow prices and the KKT conditions. It was…

math.OC2020

Second-order Online Nonconvex Optimization

Antoine Lesage-Landry, Joshua A. Taylor, Iman Shames

We present the online Newton's method, a single-step second-order method for online nonconvex optimization. We analyze its performance and obtain a dynamic regret bound that is lin…

math.OC2019

Attack Resilient Interconnected Second Order Systems: A Game-Theoretic Approach

Mohammad Pirani, Joshua A. Taylor, Bruno Sinopoli

This paper studies the resilience of second-order networked dynamical systems to strategic attacks. We discuss two widely used control laws, which have applications in power networ…

math.OC2019

Predictive Online Convex Optimization

Antoine Lesage-Landry, Iman Shames, Joshua A. Taylor

We incorporate future information in the form of the estimated value of future gradients in online convex optimization. This is motivated by demand response in power systems, where…